> I’d be curious to see how often a civil suit is brought after a car accident in EU vs US.

Depends on the country of course (UK is probably closer to USA instead of the rest of EU with civil law), but in general that would very rarely result in a dispute that needs to be resolved in court. The mandatory liability insurance would cover the usual claims without a civil suit, and unusual claims are unlikely to succeed and expensive to pursue, so they aren't.

It's pretty common after an auto accident in the US (at least in no-fault states) to sue the insurance company for pain and suffering. They will only cover medical bills and damages otherwise.

Vis the derogatory term "ambulance chasers" for personal injury lawyers.